Dai, Xiongping Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations. (English) Zbl 1372.93209 J. Franklin Inst. 351, No. 5, 2910-2937 (2014). MSC: 93E15 93D20 60J75 93C05 60H10 PDFBibTeX XMLCite \textit{X. Dai}, J. Franklin Inst. 351, No. 5, 2910--2937 (2014; Zbl 1372.93209) Full Text: DOI arXiv
Dai, Xiongping On \(\mathrm{C}^1\)-class local diffeomorphisms whose periodic points are nonuniformly expanding. (English) Zbl 1269.37016 Math. Z. 273, No. 3-4, 1243-1265 (2013). Reviewer: Manseob Lee (Daejeon) MSC: 37C50 37D05 37D20 37D25 PDFBibTeX XMLCite \textit{X. Dai}, Math. Z. 273, No. 3--4, 1243--1265 (2013; Zbl 1269.37016) Full Text: DOI arXiv
Dai, Xiongping Dominated splitting of differentiable dynamics with \(\mathrm{C}^1\)-topological weak-star property. (English) Zbl 1281.37009 J. Math. Soc. Japan 64, No. 4, 1249-1295 (2012). Reviewer: Jan Andres (Olomouc) MSC: 37C10 37D30 37D05 37C27 34D30 PDFBibTeX XMLCite \textit{X. Dai}, J. Math. Soc. Japan 64, No. 4, 1249--1295 (2012; Zbl 1281.37009) Full Text: DOI Euclid
Dai, Xiongping Hyperbolicity of \(C^{1}\)-star invariant sets for \(C^{1}\)-class dynamical systems. (English) Zbl 1218.37029 Sci. China, Math. 54, No. 2, 269-280 (2011). MSC: 37C10 37D05 37C27 PDFBibTeX XMLCite \textit{X. Dai}, Sci. China, Math. 54, No. 2, 269--280 (2011; Zbl 1218.37029) Full Text: DOI
Dai, Xiongping A note on the shadowing lemma of Liao: a generalized and improved version. (English) Zbl 1225.37030 Tohoku Math. J. (2) 62, No. 4, 509-526 (2010). Reviewer: Peter Zabreiko (Minsk) MSC: 37C50 37D30 PDFBibTeX XMLCite \textit{X. Dai}, Tôhoku Math. J. (2) 62, No. 4, 509--526 (2010; Zbl 1225.37030) Full Text: DOI
Dai, XiongPing Integral expressions of Lyapunov exponents for autonomous ordinary differential systems. (English) Zbl 1192.34062 Sci. China, Ser. A 52, No. 1, 195-216 (2009). Reviewer: Nikita E. Ratanov (Bogotá) MSC: 34D08 60B05 37H15 28D10 PDFBibTeX XMLCite \textit{X. Dai}, Sci. China, Ser. A 52, No. 1, 195--216 (2009; Zbl 1192.34062) Full Text: DOI